What characterizes an independent counting problem?

An independent counting problem is characterized by the fact that the selections made are not influenced by any previous outcomes. This means that each choice stands alone, and the result of one selection has no impact on the next. In other words, the probability of selecting a specific outcome remains constant throughout the process. This property is essential for counting problems in scenarios such as flipping a coin or rolling a die, where each event is separate and independent of others.

The other characteristics presented in the choices would imply a relationship between selections or choices, thereby contradicting the definition of independence in counting problems. For example, if choices depend on previous outcomes or if outcomes influence future selections, then the selection process cannot be considered independent. Similarly, a biased selection suggests that certain outcomes are favored over others, which also undermines the principle of independence.